A) 493
B) 1869
C) 273
D) 869
Correct Answer: C
Solution :
Observe the following. We have, \[(\text{2}\times \text{2})-(\text{1}\times \text{1})=\text{3}=\text{2}+\text{1}\] \[(\text{3}\times \text{3})-(\text{2}\times \text{2})=\text{5}=\text{3}+\text{2}\] \[(\text{5}\times \text{5})-(\text{4}\times \text{4})=\text{9}=\text{5}+\text{4}\] \[(\text{12}\times \text{12})-(\text{11}\times \text{11})=\text{23}=\text{12}+\text{11}\] Similarly, \[\text{(137}\times \text{137)}-(\text{136}\times \text{136})\] = 137 + 136 = 273
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